Constitutive equation and damping function for entangled polymers

Kunihiro Osaki

Korea-Australia Rheology Journal, Vol.11, No.4, 287-291, December, 1999

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Constitutive equation and damping function for entangled polymers

Kunihiro Osaki^†

Institute for Chemical Research, Kyoto University Uji, Kyoto 611-0011, Japan, Korea

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The tube model theory of entangled polymer presumes that polymer chain holds its equilibrium contour length under certain conditions of flow; at times longer than a certain characteristic time, τ(k), in the stress relaxation process following any flow history; in steady flow of rates smaller than τ(k)(-1); etc. Rheological phenomena associated with this presumption are discussed.

[References]

Crawley RL, Ph.D. Thesis, Northwestern University (1976)
Doi M, J. Polym. Sci. B: Polym. Phys., 18, 1005 (1980)
Doi M, Edwards SF, Theory of Polymer Dynamics, Clarendon Press, Oxford (1986)
Einaga YK, Osaki M, Kurata M, Kimura S, Yamada N, Tamura M, Polym. J., 5, 91 (1993)
Ferry JD, Viscoelastic Properties of Polymers, 3rd ed., Wiley, New York; Chap. 10 (1980)
Fukuda M, Osaki K, Kurata M, J. Polym. Sci. B: Polym. Phys., 13, 1563 (1975)
Graessley WW, Adv. Polym. Sci., 16, 1 (1974)
Graessley WW, see also Ferry (1980)
Inkson NJ, McLeish TCB, Harlen OG, Groves DJ, J. Rheol., 43(4), 873 (1999)
Inoue T, Osaki K, Macromolecules, 29(5), 1595 (1996)
Kasehagen LJ, Macosko CW, J. Rheol., 42(6), 1303 (1998)
Larson RG, Constitutive Equations for Polymer Melts and Solutions, Butterworths, London (1988)
Milner ST, McLeish TCB, Phys. Rev. Lett., 81, 725 (1998)
Osaki K, Rheol. Acta, 32, 429 (1993)
Osaki K, Takatori E, Kurata M, Watanabe H, Yoshida H, Kotaka T, Macromolecules, 23, 4392 (1990)
Osaki K, Nishizawa K, Kurata M, Macromolecules, 15, 1068 (1982)
Osaki K, Kurata M, J. Polym. Sci. B: Polym. Phys., 18, 2421 (1980)

[1] Crawley RL, Ph.D. Thesis, Northwestern University (1976)

[2] Doi M, J. Polym. Sci. B: Polym. Phys., 18, 1005 (1980)

[3] Doi M, Edwards SF, Theory of Polymer Dynamics, Clarendon Press, Oxford (1986)

[4] Einaga YK, Osaki M, Kurata M, Kimura S, Yamada N, Tamura M, Polym. J., 5, 91 (1993)

[5] Ferry JD, Viscoelastic Properties of Polymers, 3rd ed., Wiley, New York; Chap. 10 (1980)

[6] Fukuda M, Osaki K, Kurata M, J. Polym. Sci. B: Polym. Phys., 13, 1563 (1975)

[7] Graessley WW, Adv. Polym. Sci., 16, 1 (1974)

[8] Graessley WW, see also Ferry (1980)

[9] Inkson NJ, McLeish TCB, Harlen OG, Groves DJ, J. Rheol., 43(4), 873 (1999)

[10] Inoue T, Osaki K, Macromolecules, 29(5), 1595 (1996)

[11] Kasehagen LJ, Macosko CW, J. Rheol., 42(6), 1303 (1998)

[12] Larson RG, Constitutive Equations for Polymer Melts and Solutions, Butterworths, London (1988)

[13] Milner ST, McLeish TCB, Phys. Rev. Lett., 81, 725 (1998)

[14] Osaki K, Rheol. Acta, 32, 429 (1993)

[15] Osaki K, Takatori E, Kurata M, Watanabe H, Yoshida H, Kotaka T, Macromolecules, 23, 4392 (1990)

[16] Osaki K, Nishizawa K, Kurata M, Macromolecules, 15, 1068 (1982)

[17] Osaki K, Kurata M, J. Polym. Sci. B: Polym. Phys., 18, 2421 (1980)